#28388739

order	14464
automorphism	?
homology	Abelianization (H₁) = C₂×C₄ · Schur multiplier (H₂) = C₂×C₄

Aliases

No aliases for this group.

C₁₁₃ ⋊ #1409

110 conjugacy classes of subgroups.

μ_t(G) = 1808

Polycyclic presentation:

2^7,113|a^2=d,b^2=g,c^2=fg,e^2=g,b^a=bc,c^a=ce,e^a=ef,f^a=fg,h^a=h^112,c^b=cfg,d^b=def,e^b=eg,d^c=dfg,e^d=eg

1249 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 2675);